Ask question

Ask question

All categories

3 years ago

10

Cayden wants to buy a new bike that costs $191. This is $25 less then four times what he saved last month for the bike. How much

money did cayden save last month to buy this bike?

1 answer:

Nana76 [90]3 years ago

5 0

191=4m-25
191+25=4m
216=4m
216/4=m
$54= money Cayden saved last month

You might be interested in

Please answer question three and four if you can :)<br> Show full working out ty;)

nikklg [1K]

Step-by-step explanation:

3

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

$D = ( \frac{2 + 5}{2}, \: \: \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \: \: \frac{ 1}{2} ) \\ \therefore D= (3.5, \: \: 0.5) \\ \& \: A=(-1,\:\:4)...(given) \\\\ now \: by \: distance \: formula \\ \\ Length \: of \: segment \: AD \\ = \sqrt{( - 1 - 3.5)^{2} + {(4 - 0.5)}^{2} } \\ = \sqrt{(4.5)^{2} + {(3.5)}^{2} } \\ = \sqrt{20.25 + 12.25 } \\ = \sqrt{32.5} \\ \red{ \boxed{\therefore Length \: of \: segment \: AD = 5.7 \: units}}$

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

$\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\$

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

$LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS$

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

4 0

3 years ago

What is Pi dumbed down?

Delvig [45]

Answer:

Dumbing down is the deliberate oversimplification of intellectual content in education, literature, and cinema, news, video games and culture.

3 0

2 years ago

Read 2 more answers

Solve the system of linear equations below by graphing. x-y=17 and 3x+y=3

soldier1979 [14.2K]

Answer:

x=5,y=-12

Step-by-step explanation:

You add the two equations to get: 4x=20

Then you get x=5.

You plug this in to x-y=17 to get y=-12

The answer is x=5 and y=-12

8 0

3 years ago

a tire on a toy car has a diameter of 8 cm. if the toy car travels 12560 cm, approximately how many times does the Tire rotate

Zina [86]

The answer is 1,570 cm
Hope it helps

4 0

3 years ago

Find the ratio of the sequence 3 9 27 81

Tatiana [17]

The common ratio of the sequence 3, 9, 27, 81 is 3
n to the power of 3
1 to the power of 3 = 3
2 ... = 9
3 ... = 27
4 ... =81

7 0

2 years ago